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19840032 = 253322963
BaseRepresentation
bin100101110101…
…1110000100000
31101022222102000
41023223300200
520034340112
61545124000
7330431442
oct113536040
941288360
1019840032
1110221123
126789600
134158684
1428c6492
151b1d7dc
hex12ebc20

19840032 has 48 divisors (see below), whose sum is σ = 57869280. Its totient is φ = 6613056.

The previous prime is 19840021. The next prime is 19840033. The reversal of 19840032 is 23004891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×198400322 = 787253739522048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19839978 and 19840005.

It is not an unprimeable number, because it can be changed into a prime (19840033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10618 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (1205610).

Almost surely, 219840032 is an apocalyptic number.

19840032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19840032 is an abundant number, since it is smaller than the sum of its proper divisors (38029248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19840032 is a wasteful number, since it uses less digits than its factorization.

19840032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22982 (or 22968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19840032 is about 4454.2150823686. The cubic root of 19840032 is about 270.7161236304.

The spelling of 19840032 in words is "nineteen million, eight hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 22963 45926 68889 91852 137778 183704 206667 275556 367408 413334 551112 620001 734816 826668 1102224 1240002 1653336 2204448 2480004 3306672 4960008 6613344 9920016 19840032